Finite Group Databasebeta

← C11×#26163 #14603356

Subgroups — C11×#26163 #14603356

Order 2816.

918 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#460C211yesmaximal, characteristic
2C2×C4×C11×SD16C211yesmaximal, characteristic, complemented
3C11×#2445C211yesmaximal, characteristic
4Q8×C11×C4⋊C4C211yesmaximal, characteristic, complemented
5C11×#2094C211yesmaximal, characteristic, complemented
6C11×#2088C211yesmaximal, characteristic, complemented
7C11×#2071C211yesmaximal, characteristic, complemented
8C11×#2041C211yesmaximal, characteristic
9C11×#1934C211yesmaximal, characteristic, complemented
10C11×#1916C211yesmaximal, characteristic, complemented
11C11×#1880C211yesmaximal, characteristic, complemented
12C11×#1880C211yesmaximal, characteristic, complemented
13C11×#1880C211yesmaximal, characteristic, complemented
14C11×#1865C211yesmaximal, characteristic, complemented
15C11×#1864C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×#127C2211yescharacteristic
19C2×C11×#123—21no—
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×D4×C11C2211yescharacteristic
24C11×#460—24no—
25C4×C11×SD16—24no—
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×C4⋊C8C2211yescharacteristic
29C2×C11×#103C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C4×C8×C11C2211yescharacteristic
38C11×#394—21no—
39C11×#394—21no—
40C11×#390C2211yescharacteristic
41C11×#390C2211yescharacteristic
42C11×#390C2211yescharacteristic
43C11×#389—21no—
44C11×#389—21no—
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#389C2211yescharacteristic
48C11×#386—21no—
49C11×#384—21no—
50C11×#384C2211yescharacteristic
51C4×C11×C4⋊C4—21no—
52C4×C11×C4⋊C4C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C2×C11×SD16—22no—
68C2×C11×SD16—22no—
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16—22no—
72C2×C11×SD16D414yes—
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×#127—22no—
78C11×#127—41no—
79C11×#123—44no—
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C4×Q8×C11—41no—
85C4×Q8×C11—41no—
86C4×D4×C11—22no—
87C4×D4×C11—41no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4D411yescharacteristic
97C2×C11×C4⋊C4D411yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
109C2×C11×C22⋊C4—21no—
110C2×C42×C11—21no—
111C2×C42×C11—21no—
112C2×C42×C11—21no—
113C2×C42×C11C2311yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×C42×C11C2311yescharacteristic
116C11×#106—22no—
117C11×#106—41no—
118C11×C4⋊C8—22no—
119C11×#103—22no—
120C11×#103—22no—
121C11×#102—22no—
122C11×#102—22no—
123C11×#102—22no—
124C11×#102—22no—
125C11×#102—22no—
126C11×#102—41no—
127C4×C8×C11—22no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95D411yescharacteristic
132C11×#95D411yescharacteristic
133#26163C1111yesmaximal, characteristic, direct product factor, Sylow
134C24×C11—21no—
135C24×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11C2×D412yes—
140C2×Q8×C11#4112yes—
141C2×Q8×C11#4112yes—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—42no—
154C2×D4×C11—42no—
155C2×D4×C11—42no—
156C2×D4×C11—42no—
157C2×D4×C11—81no—
158C2×D4×C11—81no—
159C2×D4×C11C2×D412yes—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—81no—
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2411yescharacteristic
176C11×SD16—28no—
177C11×SD16—44no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11C2×D412yes—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—41no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4—81no—
206C11×C4⋊C4—81no—
207C11×C4⋊C4—81no—
208C11×C4⋊C4SD1614yescomplemented
209C11×C4⋊C4#4112yes—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4—42no—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—81no—
215C11×C22⋊C4—81no—
216C11×C22⋊C4—81no—
217C42×C11—24no—
218C42×C11—21no—
219C42×C11—21no—
220C42×C11—21no—
221C42×C11—21no—
222C42×C11—21no—
223C42×C11—21no—
224C42×C11—42no—
225C42×C11—42no—
226C2×#460C2×C1111yescharacteristic
227C2×C4×SD16C2×C1111yescharacteristic, complemented
228#2445C2×C1111yescharacteristic
229Q8×C4⋊C4C2×C1111yescharacteristic, complemented
230#2094C2×C1111yescharacteristic, complemented
231#2088C2×C1111yescharacteristic, complemented
232#2071C2×C1111yescharacteristic, complemented
233#2041C2×C1111yescharacteristic
234#1934C2×C1111yescharacteristic, complemented
235#1916C2×C1111yescharacteristic, complemented
236#1880C2×C1111yescharacteristic, complemented
237#1880C2×C1111yescharacteristic, complemented
238#1880C2×C1111yescharacteristic, complemented
239#1865C2×C1111yescharacteristic, complemented
240#1864C2×C1111yescharacteristic, complemented
241C23×C11—22no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C22×D411yescharacteristic
256Q8×C11—22no—
257Q8×C11—22no—
258Q8×C11—22no—
259Q8×C11#12314yescomplemented
260D4×C11—22no—
261D4×C11—22no—
262D4×C11—41no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—41no—
268D4×C11—84no—
269D4×C11—84no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—84no—
304C2×C4×C11C2×SD1612yes—
305C2×C4×C11C2×SD1612yes—
306C2×C4×C11C2×SD1612yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×C4×C112−1+411yescharacteristic
313C8×C11—22no—
314C8×C11—41no—
315C8×C11—41no—
316C8×C11—41no—
317C22×SD16C22×C1111yescharacteristic
318C22×SD16C22×C1111yescharacteristic
319C2×#127C22×C1111yescharacteristic
320C2×#123—21no—
321C2×C4×Q8C22×C1111yescharacteristic
322C2×C4×Q8C22×C1111yescharacteristic
323C2×C4×Q8C22×C1111yescharacteristic
324C2×C4×D4C22×C1111yescharacteristic
325#460—24no—
326C4×SD16—24no—
327C2×#106C22×C1111yescharacteristic
328C2×#106C22×C1111yescharacteristic
329C2×C4⋊C8C22×C1111yescharacteristic
330C2×#103C22×C1111yescharacteristic
331C2×#103C22×C1111yescharacteristic
332C2×#102C22×C1111yescharacteristic
333C2×#102C22×C1111yescharacteristic
334C2×#102C22×C1111yescharacteristic
335C2×#102C22×C1111yescharacteristic
336C2×#102C22×C1111yescharacteristic
337C2×#102C22×C1111yescharacteristic
338C2×C4×C8C22×C1111yescharacteristic
339#394—21no—
340#394—21no—
341#390C22×C1111yescharacteristic
342#390C22×C1111yescharacteristic
343#390C22×C1111yescharacteristic
344#389—21no—
345#389—21no—
346#389C22×C1111yescharacteristic
347#389C22×C1111yescharacteristic
348#389C22×C1111yescharacteristic
349#386—21no—
350#384—21no—
351#384C22×C1111yescharacteristic
352C4×C4⋊C4—21no—
353C4×C4⋊C4C22×C1111yescharacteristic
354#340C22×C1111yescharacteristic
355#340C22×C1111yescharacteristic
356#340C22×C1111yescharacteristic
357#340C22×C1111yescharacteristic
358#336C22×C1111yescharacteristic
359#336C22×C1111yescharacteristic
360#336C22×C1111yescharacteristic
361#336C22×C1111yescharacteristic
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—81no—
366C22×C11—81no—
367C22×C11—81no—
368C22×C11—81no—
369C22×C11—81no—
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11#52511yescharacteristic
377C22×C11D4211yescharacteristic
378C22×C11#54811yescharacteristic
379C22×C11C22×SD1611yescharacteristic
380C22×C11#57511yescharacteristic
381C22×C11#57611yescharacteristic
382C22×C11#57711yescharacteristic
383C4×C11—22no—
384C4×C11—24no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—41no—
388C4×C11—42no—
389C4×C11—41no—
390C4×C11—41no—
391C4×C11—81no—
392C4×C11—81no—
393C4×C11—81no—
394C4×C11—81no—
395C4×C11C2×#12311yescharacteristic
396C4×C11#53911yescharacteristic
397C4×C11#54711yescharacteristic
398C4×C11#55311yescharacteristic
399C22×Q8C23×C1111yescharacteristic
400C22×D4—21no—
401C22×D4—21no—
402C22×D4C23×C1111yescharacteristic
403C22×D4C23×C1111yescharacteristic
404C23×C4—21no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×SD16D4×C1114yes—
411C22×C8C23×C1111yescharacteristic
412C22×C8C23×C1111yescharacteristic
413C22×C8C23×C1111yescharacteristic
414C22×C8C23×C1111yescharacteristic
415#127—22no—
416#127—41no—
417#123—44no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×Q8—41no—
423C4×Q8—41no—
424C4×D4—22no—
425C4×D4—41no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C1111yescharacteristic
435C2×C4⋊C4D4×C1111yescharacteristic
436C2×C4⋊C4C23×C1111yescharacteristic
437C2×C4⋊C4C23×C1111yescharacteristic
438C2×C4⋊C4C23×C1111yescharacteristic
439C2×C4⋊C4C23×C1111yescharacteristic
440C2×C4⋊C4C23×C1111yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—21no—
451C2×C42C23×C1111yescharacteristic
452C2×C42C23×C1111yescharacteristic
453C2×C42C23×C1111yescharacteristic
454#106—22no—
455#106—41no—
456C4⋊C8—22no—
457#103—22no—
458#103—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#102—41no—
465C4×C8—22no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95D4×C1111yescharacteristic
470#95D4×C1111yescharacteristic
471C2×C11—82no—
472C2×C11—161no—
473C2×C11#244311yescharacteristic
474C2×C11#310311yescharacteristic
475C2×C11#311911yescharacteristic
476C2×C11#326811yescharacteristic
477C2×C11D4×SD1611yescharacteristic
478C2×C11#336211yescharacteristic
479C2×C11#337111yescharacteristic
480C24—21no—
481C24—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8C2×D4×C1112yes—
486C2×Q8C11×#4112yes—
487C2×Q8C11×#4112yes—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—81no—
504C2×D4—81no—
505C2×D4C2×D4×C1112yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—81no—
515C22×C4C2×D4×C1111yescharacteristic
516C22×C4C2×D4×C1111yescharacteristic
517C22×C4C2×D4×C1111yescharacteristic
518C22×C4C2×D4×C1111yescharacteristic
519C22×C4C2×D4×C1111yescharacteristic
520C22×C4C2×D4×C1111yescharacteristic
521C22×C4C24×C1111yescharacteristic
522SD16—28no—
523SD16—44no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8C2×D4×C1112yes—
536C4⋊C4—24no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—41no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—81no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C4⋊C4C11×SD1614yescomplemented
555C4⋊C4C11×#4112yes—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C42—24no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—42no—
571C42—42no—
572C11#2616311yescharacteristic, direct product factor, Sylow
573C23—22no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23C22×D4×C1111yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—22no—
591Q8C11×#12314yescomplemented
592D4—22no—
593D4—22no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—84no—
601D4—84no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
636C2×C4C2×C11×SD1612yes—
637C2×C4C2×C11×SD1612yes—
638C2×C4C2×C11×SD1612yes—
639C2×C4C22×D4×C1111yescharacteristic
640C2×C4C2×C11×#4111yescharacteristic
641C2×C4C2×C11×#4111yescharacteristic
642C2×C4C2×C11×#4111yescharacteristic
643C2×C4C11×H(5,𝔽2)11yescharacteristic
644C2×C4C11×2−1+411yescharacteristic
645C8—22no—
646C8—41no—
647C8—41no—
648C8—41no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22C11×#52511yescharacteristic
664C22D42×C1111yescharacteristic
665C22C11×#54811yescharacteristic
666C22C22×C11×SD1611yescharacteristic
667C22C11×#57511yescharacteristic
668C22C11×#57611yescharacteristic
669C22C11×#57711yescharacteristic
670C4—24no—
671C4—22no—
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—42no—
678C4—81no—
679C4—81no—
680C4—81no—
681C4—81no—
682C4C2×C11×#12311yescharacteristic
683C4C11×#53911yescharacteristic
684C4C11×#54711yescharacteristic
685C4C11×#55311yescharacteristic
686C2—82no—
687C2—161no—
688C2C11×#244311yescharacteristic
689C2C11×#310311yescharacteristic
690C2C11×#311911yescharacteristic
691C2C11×#326811yescharacteristic
692C2D4×C11×SD1611yescharacteristic
693C2C11×#336211yescharacteristic
694C2C11×#337111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×C4×C11×SD16C2semidirect
4. Q8×C11×C4⋊C4C2semidirect
5. C11×#2094C2semidirect
6. C11×#2088C2semidirect
7. C11×#2071C2semidirect
9. C11×#1934C2semidirect
10. C11×#1916C2semidirect
11. C11×#1880C2semidirect
12. C11×#1880C2semidirect
13. C11×#1880C2semidirect
14. C11×#1865C2semidirect
15. C11×#1864C2semidirect
133. #26163C11direct (N × H)
208. C11×C4⋊C4SD16semidirect
227. C2×C4×SD16C2×C11semidirect
229. Q8×C4⋊C4C2×C11semidirect
230. #2094C2×C11semidirect
231. #2088C2×C11semidirect
232. #2071C2×C11semidirect
234. #1934C2×C11semidirect
235. #1916C2×C11semidirect
236. #1880C2×C11semidirect
237. #1880C2×C11semidirect
238. #1880C2×C11semidirect
239. #1865C2×C11semidirect
240. #1864C2×C11semidirect
259. Q8×C11#123semidirect
554. C4⋊C4C11×SD16semidirect
572. C11#26163direct (N × H)
591. Q8C11×#123semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C11×#4602
C2×C4×C11×SD162
C11×#24452
Q8×C11×C4⋊C42
C11×#20942
C11×#20882
C11×#20712
C11×#20412
C11×#19342
C11×#19162
C11×#18802
C11×#18652
C11×#18642
#2616311